Small quibble: at least according to her twitter account linked from the sidebar of the linked post, the author of the linked post ("Eevee a.k.a. Evelyn Woods") goes by "she/her"
Even after reading the Wikipedia article to find out who "Peppermint Patty" is, I don't quite understand the reference but get the impression that it may be slightly disrespectful?
Those are sad times when the new generation doesn't intimately know about the Peanuts anymore.
Peppermint Patty´s best frient, Marcie, tends to eccentrically call her "sir", which may be due to Marcie´s bad eyesight and Patty´s slightly tomboyish behaviours. Patty at first is hugely annoyed by that, but eventually starts to accept - or better, less obviously discourages - that behaviour.
Peppermint Patty is a character in the Peanuts comic strip, there are probably only 4 characters in the strip that if you say someone is like that character it would be taken as disrespectful.
I don't think Peppermint Patty is disrespectful personally.